Vol. 167
Latest Volume
All Volumes
PIERC 167 [2026] PIERC 166 [2026] PIERC 165 [2026] PIERC 164 [2026] PIERC 163 [2026] PIERC 162 [2025] PIERC 161 [2025] PIERC 160 [2025] PIERC 159 [2025] PIERC 158 [2025] PIERC 157 [2025] PIERC 156 [2025] PIERC 155 [2025] PIERC 154 [2025] PIERC 153 [2025] PIERC 152 [2025] PIERC 151 [2025] PIERC 150 [2024] PIERC 149 [2024] PIERC 148 [2024] PIERC 147 [2024] PIERC 146 [2024] PIERC 145 [2024] PIERC 144 [2024] PIERC 143 [2024] PIERC 142 [2024] PIERC 141 [2024] PIERC 140 [2024] PIERC 139 [2024] PIERC 138 [2023] PIERC 137 [2023] PIERC 136 [2023] PIERC 135 [2023] PIERC 134 [2023] PIERC 133 [2023] PIERC 132 [2023] PIERC 131 [2023] PIERC 130 [2023] PIERC 129 [2023] PIERC 128 [2023] PIERC 127 [2022] PIERC 126 [2022] PIERC 125 [2022] PIERC 124 [2022] PIERC 123 [2022] PIERC 122 [2022] PIERC 121 [2022] PIERC 120 [2022] PIERC 119 [2022] PIERC 118 [2022] PIERC 117 [2021] PIERC 116 [2021] PIERC 115 [2021] PIERC 114 [2021] PIERC 113 [2021] PIERC 112 [2021] PIERC 111 [2021] PIERC 110 [2021] PIERC 109 [2021] PIERC 108 [2021] PIERC 107 [2021] PIERC 106 [2020] PIERC 105 [2020] PIERC 104 [2020] PIERC 103 [2020] PIERC 102 [2020] PIERC 101 [2020] PIERC 100 [2020] PIERC 99 [2020] PIERC 98 [2020] PIERC 97 [2019] PIERC 96 [2019] PIERC 95 [2019] PIERC 94 [2019] PIERC 93 [2019] PIERC 92 [2019] PIERC 91 [2019] PIERC 90 [2019] PIERC 89 [2019] PIERC 88 [2018] PIERC 87 [2018] PIERC 86 [2018] PIERC 85 [2018] PIERC 84 [2018] PIERC 83 [2018] PIERC 82 [2018] PIERC 81 [2018] PIERC 80 [2018] PIERC 79 [2017] PIERC 78 [2017] PIERC 77 [2017] PIERC 76 [2017] PIERC 75 [2017] PIERC 74 [2017] PIERC 73 [2017] PIERC 72 [2017] PIERC 71 [2017] PIERC 70 [2016] PIERC 69 [2016] PIERC 68 [2016] PIERC 67 [2016] PIERC 66 [2016] PIERC 65 [2016] PIERC 64 [2016] PIERC 63 [2016] PIERC 62 [2016] PIERC 61 [2016] PIERC 60 [2015] PIERC 59 [2015] PIERC 58 [2015] PIERC 57 [2015] PIERC 56 [2015] PIERC 55 [2014] PIERC 54 [2014] PIERC 53 [2014] PIERC 52 [2014] PIERC 51 [2014] PIERC 50 [2014] PIERC 49 [2014] PIERC 48 [2014] PIERC 47 [2014] PIERC 46 [2014] PIERC 45 [2013] PIERC 44 [2013] PIERC 43 [2013] PIERC 42 [2013] PIERC 41 [2013] PIERC 40 [2013] PIERC 39 [2013] PIERC 38 [2013] PIERC 37 [2013] PIERC 36 [2013] PIERC 35 [2013] PIERC 34 [2013] PIERC 33 [2012] PIERC 32 [2012] PIERC 31 [2012] PIERC 30 [2012] PIERC 29 [2012] PIERC 28 [2012] PIERC 27 [2012] PIERC 26 [2012] PIERC 25 [2012] PIERC 24 [2011] PIERC 23 [2011] PIERC 22 [2011] PIERC 21 [2011] PIERC 20 [2011] PIERC 19 [2011] PIERC 18 [2011] PIERC 17 [2010] PIERC 16 [2010] PIERC 15 [2010] PIERC 14 [2010] PIERC 13 [2010] PIERC 12 [2010] PIERC 11 [2009] PIERC 10 [2009] PIERC 9 [2009] PIERC 8 [2009] PIERC 7 [2009] PIERC 6 [2009] PIERC 5 [2008] PIERC 4 [2008] PIERC 3 [2008] PIERC 2 [2008] PIERC 1 [2008]
2026-03-19
Double Slabs of Magnetic Meta-Material for Improving the Efficiency of Wireless Power Transfer Systems
By
Progress In Electromagnetics Research C, Vol. 167, 165-174, 2026
Abstract
This paper focuses on enhancing the efficiency of wireless power transfer (WPT) using metamaterials (MTMs) only in the transmitter section, without modifying the receiver section. Power transfer efficiency (PTE) is the ratio of the actual power to the load resistance Rload that is transmitted to the load to the maximum available power at the source, Vs. Enhancing the PTE of a WPT system is essential, given the wide range of WPT applications. Magnetic MTMs can significantly increase the PTE. This research proposes a structure for the transmitter coil (Tx) and the receiver coil (Rx), incorporating the MTM slab, in a WPT system to enhance efficiency. The MTM was fabricated on a thin FR-4 substrate and positioned in front of and behind the Tx coil. Full-wave simulations show a clear improvement in coupling after adding the MTM plate. The transmission coefficient S21 is increased by 0.4 when the MTM is placed in front of the Tx coil. When the two plates of the MTM were inserted, the S21 improved by 0.2 compared to a single slab due to dielectric losses. In all cases, the magnetic field became more distributed and focused on the receiver side after the addition of the MTMs. The power transfer efficiency reaches 53.3% with double-layer MTMs at 12 MHz and a distance of 35 mm. Finally, the results of the measurements and simulations showed acceptable agreement, indicating that the proposed method is effective in overcoming reduced efficiency issues. The proposed design is suitable for various electronic applications, such as multiple-device charging pads.
Citation
Noor Fadhel Habib, Mohammad Sajjad Bayati, and Nasr Alkhafaji, "Double Slabs of Magnetic Meta-Material for Improving the Efficiency of Wireless Power Transfer Systems," Progress In Electromagnetics Research C, Vol. 167, 165-174, 2026.
doi:10.2528/PIERC25112501
References

1. Hong, Y.-W. Peter, Teng-Cheng Hsu, and Pradeep Chennakesavula, "Wireless power transfer for distributed estimation in wireless passive sensor networks," IEEE Transactions on Signal Processing, Vol. 64, No. 20, 5382-5395, Oct. 2016.
doi:10.1109/tsp.2016.2595491        Google Scholar

2. Ullah, Md. Amanath, Rasool Keshavarz, Mehran Abolhasan, Justin Lipman, Karu P. Esselle, and Negin Shariati, "A review on antenna technologies for ambient RF energy harvesting and wireless power transfer: Designs, challenges and applications," IEEE Access, Vol. 10, 17231-17267, 2022.
doi:10.1109/access.2022.3149276        Google Scholar

3. Kim, Seong-Min, Jung-Ick Moon, In-Kui Cho, Jae-Hun Yoon, Woo-Jin Byun, and Hyun-Chul Choi, "Advanced power control scheme in wireless power transmission for human protection from EM field," IEEE Transactions on Microwave Theory and Techniques, Vol. 63, No. 3, 847-856, Mar. 2015.
doi:10.1109/tmtt.2015.2398444        Google Scholar

4. Onar, Omer C., Steven L. Campbell, Larry Eugene Seiber, Cliff P. White, Madhu Sudhan Chinthavali, Lixin Tang, Paul H. Chambon, Burak Ozpineci, and David E. Smith, "Oak ridge national laboratory wireless charging of electric vehicles --- CRADA report," ORNL/TM-2016/296, Oak Ridge National Laboratory, Oak Ridge, TN, USA, 2016.
doi:10.2172/1263875

5. Xiao, Chunyan, Kangzheng Wei, Dingning Cheng, and Yufeng Liu, "Wireless charging system considering eddy current in cardiac pacemaker shell: Theoretical modeling, experiments, and safety simulations," IEEE Transactions on Industrial Electronics, Vol. 64, No. 5, 3978-3988, May 2017.
doi:10.1109/tie.2016.2645142        Google Scholar

6. Kim, Nam Yoon, Ki Young Kim, Young-Ho Ryu, Jinsung Choi, Dong-Zo Kim, Changwook Yoon, Yun-Kwon Park, and Sangwook Kwon, "Automated adaptive frequency tracking system for efficient mid-range wireless power transfer via magnetic resonanc coupling," 2012 42nd European Microwave Conference, 221-224, Amsterdam, Netherlands, 2012.
doi:10.23919/EuMC.2012.6459399

7. Beh, Teck Chuan, Masaki Kato, Takehiro Imura, Sehoon Oh, and Yoichi Hori, "Automated impedance matching system for robust wireless power transfer via magnetic resonance coupling," IEEE Transactions on Industrial Electronics, Vol. 60, No. 9, 3689-3698, Sep. 2013.
doi:10.1109/tie.2012.2206337        Google Scholar

8. Zhong, W. X., C. Zhang, Xun Liu, and S. Y. Ron Hui, "A methodology for making a three-coil wireless power transfer system more energy efficient than a two-coil counterpart for extended transfer distance," IEEE Transactions on Power Electronics, Vol. 30, No. 2, 933-942, Feb. 2015.
doi:10.1109/tpel.2014.2312020        Google Scholar

9. Zhu, Qi, Mei Su, Yao Sun, Weiyi Tang, and Aiguo Patrick Hu, "Field orientation based on current amplitude and phase angle control for wireless power transfer," IEEE Transactions on Industrial Electronics, Vol. 65, No. 6, 4758-4770, Jun. 2018.
doi:10.1109/tie.2017.2767556        Google Scholar

10. Wu, Kai, Jing-Jing Liu, Yu-jiang Ding, Wei Wang, Bin Liang, and Jian-Chun Cheng, "Metamaterial-based real-time communication with high information density by multipath twisting of acoustic wave," Nature Communications, Vol. 13, No. 1, 5171, Sep. 2022.
doi:10.1038/s41467-022-32778-z        Google Scholar

11. Ha, Duong Thi, Bui Son Tung, Bui Xuan Khuyen, Thanh Son Pham, Nguyen Thanh Tung, Nguyen Hoang Tung, Nguyen Thi Hoa, Vu Dinh Lam, Haiyu Zheng, Liangyao Chen, and YoungPak Lee, "Dual-band, polarization-insensitive, ultrathin and flexible metamaterial absorber based on high-order magnetic resonance," Photonics, Vol. 8, No. 12, 574, 2021.
doi:10.3390/photonics8120574        Google Scholar

12. Sahandabadi, Sahereh, Seyed Vahab Al-Din Makki, and Shahpour Alirezaee, "Design of a reflectarray antenna using graphene and epsilon-near-zero metamaterials in terahertz band," Progress In Electromagnetics Research Letters, Vol. 89, 113-119, 2020.
doi:10.2528/pierl19120601        Google Scholar

13. Wu, Geng-Bo, Jun Yan Dai, Kam Man Shum, Ka Fai Chan, Qiang Cheng, Tie Jun Cui, and Chi Hou Chan, "A universal metasurface antenna to manipulate all fundamental characteristics of electromagnetic waves," Nature Communications, Vol. 14, No. 1, 5155, 2023.
doi:10.1038/s41467-023-40717-9        Google Scholar

14. Van Long, Le, Dinh Ngoc Dung, Pham Thanh Son, Nguyen Thanh Tung, Vu Thi Hong Hanh, Duong Thi Ha, Do Thuy Chi, Bui Son Tung, Bui Xuan Khuyen, and Vu Dinh Lam, "Robust reversion of dual-band polarization conversion and absorption based on flexible metamaterial," Journal of the Physical Society of Japan, Vol. 92, No. 2, 024801, 2023.
doi:10.7566/jpsj.92.024801        Google Scholar

15. Patel, Shobhit K., Juveriya Parmar, Vishal Sorathiya, Truong Khang Nguyen, and Vigneswaran Dhasarathan, "Tunable infrared metamaterial-based biosensor for detection of hemoglobin and urine using phase change material," Scientific Reports, Vol. 11, No. 1, 7101, Mar. 2021.
doi:10.1038/s41598-021-86700-6        Google Scholar

16. Smirnov, Pavel, Eugene Koreshin, Georgii Baranov, and Polina Kapitanova, "Self-tuning approach for metasurface-based resonators for one-to-many wireless power transfer," Journal of Applied Physics, Vol. 134, No. 8, 084901, Aug. 2023.
doi:10.1063/5.0152710        Google Scholar

17. Habib, Noor Fadhel, M. Sajjad Bayati, and Nasr Alkhafaji, "Improving the performance of a wireless power transfer with misalignment using magnetic resonators coil and metamaterial slabs," Progress In Electromagnetics Research C, Vol. 160, 48-55, 2025.
doi:10.2528/PIERC25062802        Google Scholar

18. Younesiraad, Hemn and Mohammad Bemani, "Analysis of coupling between magnetic dipoles enhanced by metasurfaces for wireless power transfer efficiency improvement," Scientific Reports, Vol. 8, No. 1, 14865, 2018.
doi:10.1038/s41598-018-33174-8        Google Scholar

19. Hiep, Le Thi Hong, Bui Xuan Khuyen, Bui Son Tung, Quang Minh Ngo, Vu Dinh Lam, and Thanh Son Pham, "Flexible magnetic metasurface with defect cavity for wireless power transfer system," Materials, Vol. 15, No. 19, 6583, 2022.
doi:10.3390/ma15196583        Google Scholar

20. Rong, Cancan, Lihui Yan, Long Li, Yunhui Li, and Minghai Liu, "A review of metamaterials in wireless power transfer," Materials, Vol. 16, No. 17, 6008, 2023.
doi:10.3390/ma16176008        Google Scholar

21. Bui, Huu Nguyen, Thanh Son Pham, Jie-Seok Kim, and Jong-Wook Lee, "Field-focused reconfigurable magnetic metamaterial for wireless power transfer and propulsion of an untethered microrobot," Journal of Magnetism and Magnetic Materials, Vol. 494, 165778, Jan. 2020.
doi:10.1016/j.jmmm.2019.165778        Google Scholar

22. Lu, Conghui, Xiutao Huang, Xiong Tao, Cancan Rong, and Minghai Liu, "Comprehensive analysis of side-placed metamaterials in wireless power transfer system," IEEE Access, Vol. 8, 152900-152908, 2020.
doi:10.1109/access.2020.3017492        Google Scholar

23. Hou, Yaowei, Xiufang Wang, Yu Wang, Yanwen Hu, Yingda He, and Zhongming Yan, "Analysis of wireless power transfer using superconducting metamaterials," IEEE Transactions on Applied Superconductivity, Vol. 29, No. 2, 1-5, Mar. 2019.
doi:10.1109/tasc.2018.2882234        Google Scholar

24. Jiang, Shan, Xuejun Liu, Jianpeng Liu, Dong Ye, Yongqing Duan, Kan Li, Zhouping Yin, and Yong An Huang, "Flexible metamaterial electronics," Advanced Materials, Vol. 34, No. 52, 2200070, 2022.
doi:10.1002/adma.202200070        Google Scholar

25. Bertoldi, Katia, Vincenzo Vitelli, Johan Christensen, and Martin Van Hecke, "Flexible mechanical metamaterials," Nature Reviews Materials, Vol. 2, No. 11, 1-11, Oct. 2017.
doi:10.1038/natrevmats.2017.66        Google Scholar

26. Anjali, M., Raghunath Sahoo, Lincy Stephen, C. V. Krishnamurthy, and V. Subramanian, "Flexible bandwidth-enhanced metamaterial absorbers with epoxy/graphene nanoplatelets-silver nanowire polymer composites as substrates," Composites Science and Technology, Vol. 249, 110492, Apr. 2024.
doi:10.1016/j.compscitech.2024.110492        Google Scholar

27. Li, Wenzhi, Qiyue Yu, Jing Hui Qiu, and Jiaran Qi, "Intelligent wireless power transfer via a 2-bit compact reconfigurable transmissive-metasurface-based router," Nature Communications, Vol. 15, No. 1, 2807, 2024.
doi:10.1038/s41467-024-46984-4        Google Scholar

28. Yusri, Muhammad Sukriyllah, Mohamad Harris Misran, Maizatul Alice Meor Said, Mohd Azlishah Othman, Azahari Salleh, Ridza Azri Ramlee, Sharul Kamal Abdul Rahim, and Mohd Zahid Idris, "Optimizing wireless power transfer efficiency at 13.56 MHz using double negative metamaterials," Progress In Electromagnetics Research B, Vol. 111, 125-133, 2025.
doi:10.2528/pierb24122701        Google Scholar

29. Shaw, Tarakeswar, Bappaditya Mandal, Gopinath Samanta, Thiemo Voigt, Debasis Mitra, and Robin Augustine, "Rotation insensitive implantable wireless power transfer system for medical devices using metamaterial-polarization converter," Scientific Reports, Vol. 14, No. 1, 19688, 2024.
doi:10.1038/s41598-024-70591-4        Google Scholar

30. Cho, Yeonje, Seongsoo Lee, Dong-Hyun Kim, Hongseok Kim, Chiuk Song, Sunkyu Kong, Junyong Park, Chulhun Seo, and Joungho Kim, "Thin hybrid metamaterial slab with negative and zero permeability for high efficiency and low electromagnetic field in wireless power transfer systems," IEEE Transactions on Electromagnetic Compatibility, Vol. 60, No. 4, 1001-1009, 2018.
doi:10.1109/temc.2017.2751595        Google Scholar

31. Wang, Xiufang, Yu Wang, Yanwen Hu, Yingda He, and Zhongming Yan, "Analysis of wireless power transfer using superconducting metamaterials," IEEE Transactions on Applied Superconductivity, Vol. 29, No. 2, 1-5, 2019.
doi:10.1109/tasc.2018.2882234        Google Scholar

32. Lazzoni, Valeria, Danilo Brizi, and Agostino Monorchio, "Spatial filtering magnetic metasurface for misalignment robustness enhancement in wireless power transfer applications," Scientific Reports, Vol. 13, No. 1, 560, 2023.
doi:10.1038/s41598-023-27719-9        Google Scholar

33. Hiep, Le Thi Hong, Huu Nguyen Bui, Bui Son Tung, Vu Dinh Lam, Bui Xuan Khuyen, and Thanh Son Pham, "Enhanced efficiency of magnetic resonant wireless power transfer system using rollable and foldable metasurface based on polyimide substrate," Applied Physics A, Vol. 130, No. 7, 521, 2024.
doi:10.1007/s00339-024-07684-4        Google Scholar